Question

which is the best type of graph to model the speed of a roller coaster over the full two minutes it takes to complete the ride?

a qualitative graph
a discrete graph
a bar graph
a histogram

Explanation:

Analyze the nature of the data

The problem asks for the best type of graph to model the speed of a roller coaster over a continuous two-minute ride. Speed and time are both continuous variables that change smoothly and constantly throughout the entire duration of the ride, rather than in separate, distinct steps.

Evaluate discrete options

A discrete graph, a bar graph, and a histogram are used to represent distinct, countable data points or grouped intervals of data. Because a roller coaster's speed does not jump from one value to another but changes continuously, discrete representations are not the best fit for showing the continuous flow of the ride.

Evaluate qualitative graphs

A qualitative graph is used to represent the relationship between quantities visually (such as showing speed increasing, decreasing, or staying constant over time) without requiring precise numerical values for every single point. Since we want to model the general behavior of the speed over the full two minutes, a qualitative graph is the most appropriate choice to show these continuous changes in speed.

Answer:

• a qualitative graph (Correct answer)
• a discrete graph
• a bar graph
• a histogram